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Ymorist [56]
2 years ago
9

Forty percent of the 30 members of the drama club were members of the senior class

Mathematics
2 answers:
mash [69]2 years ago
6 0

Answer:

a. 12

b. 60%

Step-by-step explanation:

40% of 30 Use a decimal equivalent for 40% to multiply by 30.

.40 × 30

= 12

12 members of the club are seniors. (If the number was 50%, that would be half, so 15 people. So 12 people for the 40% seems reasonable! You don't want to accidentally calculate 120 or 1.2, checking for reasonableness is a good strategy.)

Assuming that the club is made up of all students and no animals or members of the community or intergalactic aliens. If 40% are seniors, then the rest are not seniors, that would be 60%. 60% of the club members are not seniors.

andriy [413]2 years ago
4 0

10%of30=3

3x4=12

A. 40%of 30=12 senior class members.

B. 60% of the class were not senior class members

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Question 3<br> Solve this system by using the elimination method.<br> 4x + 2y = 8<br> 5x + 3y = 9
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Answer:

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g If the economy improves, a certain stock stock will have a return of 23.4 percent. If the economy declines, the stock will hav
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Answer:

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And replacing we got:

E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965

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And replacing we got:

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We can define the random variable of interest X as the return from a stock and we know the following conditions:

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X_2 = -11.9 , P(X_1) =0.33 represent the result if we have a recession

We want to find the standard deviation for the returns on the stock. We need to begin finding the mean with this formula:

E(X) = \sum_{i=1}^n X_i P(X_i)

And replacing the data given we got:

E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%

Now we can find the second central moment with this formula:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i)

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E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965

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Var(X) = E(X^2) - [E(X)]^2

And replacing we got:

Var(X) = 413.5965 -(11.759)^2 =275.5105

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